Probability of Picking Flowers

In a garden, there are 30 flowers of different types. The distribution of flowers is as follows: 12 roses, 10 tulips, and 8 daisies. Each flower is randomly chosen and placed in a vase. What is the probability that the first flower picked is a rose and the second flower picked is a daisy, without replacement?

To calculate the probability, remember that:

$$ P(A ext{ and } B) = P(A) imes P(B | A) $$